Authors:
- Provides succinct but authoritative coverage of a broad array of biophysical topics and models
- Written by authors at Moscow State University with its strong tradition in mathematics and biophysics
- Scope, coverage, and length make the book highly suitable for use in a one-semester course at the senior undergraduate/graduate level
Part of the book series: Biological and Medical Physics, Biomedical Engineering (BIOMEDICAL)
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Table of contents (16 chapters)
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Front Matter
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Kinetic Models of Photosynthetic Processes
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Front Matter
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Direct Multiparticle Models of Processes in Subcellular Systems
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Front Matter
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About this book
This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question "what new information can be provided by the models that cannot be obtained directly from experimental data?" Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience.
Keywords
- Autowave processes
- Belousov–Zhabotinsky reaction
- Classic Lotka and Volterra models
- Direct multiparticle models processes subcellular systems
- Generalized kinetic model primary photosynthetic processes
- Hodgkin and Huxley
- Kinetic model ATPase
- Kinetic model interaction of two photosystems
- Kinetic models photosynthetic processes
- Leslie matrices
- Morphogenesis models
- Morphogenetic field
- Nonlinear models DNA dynamics
- Oscillations periodic space structures, Chara corallina
- Oscillations, rhythms and chaos in biological systems
- Reduced FitzHugh-Nagumo Model
- Spaciotemporal evolution electrochemical potential
- Spatiotemporal self-organization of biological systems
- The Verhulst equation
- Turing instability
- biological systems
- direct multipatricle simulation of protein interactions
- dynamics models
- electron transfer in PSII
- growth and catalysis models
- heart activity
- mathematical biophysics
- mathematical biophysics book
- mathematical modeling, living systems
- mathematical models
- modeling processes in living systems
- nerve pulse propagation
- photosynthetic electron transport
- protein complex formation solution
- protein interactions in photosynthetic membrane
- subcellular systems
Authors and Affiliations
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Dept. Biophysics, Lomonosov Moscow State University, Moscow, Russia
Andrew Rubin, Galina Riznichenko
Bibliographic Information
Book Title: Mathematical Biophysics
Authors: Andrew Rubin, Galina Riznichenko
Series Title: Biological and Medical Physics, Biomedical Engineering
DOI: https://doi.org/10.1007/978-1-4614-8702-9
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4614-8701-2Published: 26 November 2013
Softcover ISBN: 978-1-4899-7783-0Published: 23 August 2016
eBook ISBN: 978-1-4614-8702-9Published: 26 November 2013
Series ISSN: 1618-7210
Series E-ISSN: 2197-5647
Edition Number: 1
Number of Pages: XV, 273
Number of Illustrations: 107 b/w illustrations, 43 illustrations in colour
Topics: Biological and Medical Physics, Biophysics, Computer Appl. in Life Sciences, Math. Applications in Chemistry